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BFW Publishers A grocery store manager is considering the purchase of a new self-checkout machine that will get customers through the checkout line faster than their current machine. Before he spends the money on the equipment, he wants to know how much faster the customers will check out compared to the current machine. The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine. The summary statistics are provided in the table. Group Description Sample size Sample mean (mix) Sample standard deviation (min) new machine ₁ = 47 ₁ = 124.4 J₁ = 26.8 2 old machine ₂ = 44 X2 = 109.0 32 = 21.2 df = 86.63765 Compute the lower and upper limits of a 95% confidence interval to estimate the difference of the mean checkout times for all customers. Estimate the difference for the new machine minus the old machine, so that a positive result reflects faster checkout times with the new machine. Use df = 86.63765. upper = lower = Give your answer precise to at least three decimal places. I Give your answer precise to at least three decimal places. Determine the meaning of the lower and upper limits of the confidence interval. O The store manager is 95% confident that the difference in the mean checkout time of all customers using the new machine compared to the current one is contained in the calculated interval. The store manager is 95% confident that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval. The probability is 95% that the difference in the mean checkout time of all customters using the new machine compared to the old one is within the bounds of the confidence interval. The probability is 95% that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval.

BFW Publishers A grocery store manager is considering the purchase of a new self-checkout machine that will get customers through the checkout line faster than their current machine. Before he spends the money on the equipment, he wants to know how much faster the customers will check out compared to the current machine. The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine. The summary statistics are provided in the table. Group Description Sample size Sample mean (mix) Sample standard deviation (min) new machine ₁ = 47 ₁ = 124.4 J₁ = 26.8 2 old machine ₂ = 44 X2 = 109.0 32 = 21.2 df = 86.63765 Compute the lower and upper limits of a 95% confidence interval to estimate the difference of the mean checkout times for all customers. Estimate the difference for the new machine minus the old machine, so that a positive result reflects faster checkout times with the new machine. Use df = 86.63765. upper = lower = Give your answer precise to at least three decimal places. I Give your answer precise to at least three decimal places. Determine the meaning of the lower and upper limits of the confidence interval. O The store manager is 95% confident that the difference in the mean checkout time of all customers using the new machine compared to the current one is contained in the calculated interval. The store manager is 95% confident that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval. The probability is 95% that the difference in the mean checkout time of all customters using the new machine compared to the old one is within the bounds of the confidence interval. The probability is 95% that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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BFW Publishers A grocery store manager is considering the purchase of a new self-checkout machine that will get customers through the checkout line faster than their current machine. Before he spends the money on the equipment, he wants to know how much faster the customers will check out compared to the current machine. The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine. The summary statistics are provided in the table. Group Description Sample size Sample mean (mix) Sample standard deviation (min) new machine ₁ = 47 ₁ = 124.4 J₁ = 26.8 2 old machine ₂ = 44 X2 = 109.0 32 = 21.2 df = 86.63765 Compute the lower and upper limits of a 95% confidence interval to estimate the difference of the mean checkout times for all customers. Estimate the difference for the new machine minus the old machine, so that a positive result reflects faster checkout times with the new machine. Use df = 86.63765. upper = lower = Give your answer precise to at least three decimal places. I Give your answer precise to at least three decimal places. Determine the meaning of the lower and upper limits of the confidence interval. O The store manager is 95% confident that the difference in the mean checkout time of all customers using the new machine compared to the current one is contained in the calculated interval. The store manager is 95% confident that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval. The probability is 95% that the difference in the mean checkout time of all customters using the new machine compared to the old one is within the bounds of the confidence interval. The probability is 95% that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval.
Transcribed Image Text:BFW Publishers A grocery store manager is considering the purchase of a new self-checkout machine that will get customers through the checkout line faster than their current machine. Before he spends the money on the equipment, he wants to know how much faster the customers will check out compared to the current machine. The store manager recorded the checkout times, in seconds, for a randomly selected sample of checkouts from each machine. The summary statistics are provided in the table. Group Description Sample size Sample mean (mix) Sample standard deviation (min) new machine ₁ = 47 ₁ = 124.4 J₁ = 26.8 2 old machine ₂ = 44 X2 = 109.0 32 = 21.2 df = 86.63765 Compute the lower and upper limits of a 95% confidence interval to estimate the difference of the mean checkout times for all customers. Estimate the difference for the new machine minus the old machine, so that a positive result reflects faster checkout times with the new machine. Use df = 86.63765. upper = lower = Give your answer precise to at least three decimal places. I Give your answer precise to at least three decimal places. Determine the meaning of the lower and upper limits of the confidence interval. O The store manager is 95% confident that the difference in the mean checkout time of all customers using the new machine compared to the current one is contained in the calculated interval. The store manager is 95% confident that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval. The probability is 95% that the difference in the mean checkout time of all customters using the new machine compared to the old one is within the bounds of the confidence interval. The probability is 95% that the mean difference in checkout times for all customers using the new machine compared to the current one is contained in the calculated interval.
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